Finite-time fault detection for discrete nonlinear systems with time-varying delays under the dynamic event-triggered mechanism

This article is concerned with the finite-time fault detection (FTFD) problem for discrete networked systems subject to nonlinearities and time-varying delays under the dynamic event-triggered mechanism. The dynamic event-based communication scheme is adopted to improve the efficiency of the bandwidth utilization, reduce the transmission of redundant signals and decrease the transmission pressure of the network. Then, by constructing a new Lyapunov functional and utilizing the appropriate inequality techniques, some sufficient conditions are derived under which the addressed augmented system achieves the finite-time stability and attains a satisfactory H infinity$$ {H}_{\infty } $$ performance index. Additionally, the expression forms of the fault detection filter (FDF) parameters are presented based on the solutions to certain matrix inequalities. In the end, a numerical simulation is employed to demonstrate the effectiveness and feasibility of the proposed FTFD strategy.